I don't know anything about this but are you saying there's nothing to worry about here?
Short half-life (days) products are very radioactive and dangerous, but because they are quickly depleted, they are manageable.
The worst are medium half-life (decades) products. Short enough to be dangerously radioactive, and long enough to be a long term problem. These are the ones that make Chernobyl inhospitable.
So an article equating long half life with danger isn't trying really hard to be accurate and precise.
To put it another way, "half-life of infinity" = "not radioactive at all".
Now, there are other factors involved (type of radiation emitted, what fission products appear further down the decay chain, etc.), but none of them are made worse by a long half-life per se.
It's a scare term, pure and simple.